Mark would like to buy a new guitar that costs $169.00. Mark has saved $55 and receives an allowance of $12 a week. Choose the equation that represents how many weeks, w , it will take for Mark to save enough money to buy the guitar. Responses

The following terms are;

Chord = EJ

Tangent line; GD

Secant line ; KH

For a circle, take two points on its circumference. That divides the circumference of the assumed circle in two parts. Those both parts are called arcs of the circle. The bigger part will be called the major arc, and the smaller one will be called the minor arc.

WE are given that c is the center, FE is a diameter, GD intersects the

circle at E, and KH intersects the circle at E and 1.

Here we have to find the following;

If the assumed circle has center O and chord AB, then if there is perpendicular from O to AB at point C, then that point C is bisecting the line segment AB.

Chord = EJ

Tangent line; GD

Secant line ; KH

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Answer:

3.00000000000

Step-by-step explanation:

2.77247497343 is closer to 3.00000000000 than 2.00000000000

you would save $6,000 in annual fuel expenses.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Given,  you drive 40,000 miles per year and gas averages $4 per gallon

Since,

Fuel expenses = (Miles driven / Miles per gallon) x Price per gallon

For the SUV, with an average of 16 miles per gallon, the fuel expenses would be:

Fuel expenses for SUV = (40,000 / 16) x 4 = $10,000

For the hybrid car, with an average of 40 miles per gallon, the fuel expenses would be:

Fuel expenses for hybrid car = (40,000 / 40) x 4 = $4,000

To find the difference in fuel expenses between the two vehicles, we subtract the fuel expenses for the hybrid car from the fuel expenses for the SUV:

$10,000 - $4,000 = $6,000

Therefore, by owning a hybrid car averaging 40 miles per gallon instead of an SUV averaging 16 miles per gallon, you would save $6,000 in annual fuel expenses.

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So Katya's rectangular table is 1.6 meters long and 3/4 meters wide, with an area of 1 1/5 square meters.

Area is a measure of the size of a two-dimensional surface, such as the surface of a shape or object. It is usually measured in square units, such as square meters, square centimeters, square feet, or square inches. The area of a shape tells us how much surface area it covers, and is often used in a variety of fields, such as architecture, engineering, and physics. For example, the area of a room can help determine how much flooring is needed to cover it, the area of a building facade can help determine how much material is needed to cover it, and the area of a wing can help determine its lift and drag characteristics in aerodynamics.

Here,

Let's start by using the formula for the area of a rectangle:

A = lw

where A is the area, l is the length, and w is the width.

We are given that the width of the table is 3/4 meters, so we can substitute this value into the formula and simplify:

A = l(3/4)

l = (4/3)A

Next, we are told that the table has an area of 1 1/5 m^2. We can convert this mixed number to an improper fraction by multiplying the whole number by the denominator and then adding the numerator:

1 1/5 = (5*1 + 1)/5 = 6/5

So the area of the table is 6/5 m^2. Substituting this value for A in the formula above, we get:

l = (4/3)(6/5)

l = 8/5 m

Therefore, the length of the table is 8/5 meters, or 1.6 meters when converted to a decimal.

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Answer:

Photo below.

Step-by-step explanation:

Red Line = y=3x−3/4

Blue Line =  y=−x/3−3/2

Hope it helped!

The system of equations can be represented as a vector equation A x = b, where A is the coefficient matrix, x is the variable vector, and b is the constant vector.

Using matrices and vectors, a system of linear equations can be expressed as a vector equation. Consider a set of n variables and m linear equations. It may be written as follows:

A x = b

where A is a m x n matrix of the coefficients of the variables, x is a n x 1 column vector of the variables, and b is a m x 1 column vector of the constants on the right-hand side of each equation.

To match the rows of the system of equations to the corresponding row of the matrix A and vector b in the vector equation, we can represent the system of equations as:

a 21 x 1 + a 22 x 2 +... + a 2n x n = b 2 a 11 x 1 + a 12 x 2 +... + a 1n x n = b 1

a mn x n = b m, where a m1 x 1 = a m2 x 2 +...

The vector form of this is as follows:

Beginning with "a 11" and "a 12," adding "cdots and a 1n," going on to "a 21" and "a 22," adding "cdots and a 2n," adding "vdots and vdots and ddots and vdots," ending with "a m1" and "a m2," adding "cdots and a mn,"

With A serving as the coefficient matrix, x serving as the variable vector, and b serving as the constant vector, the system of equations can thus be expressed as a vector equation, A x = b.

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Answer:

x = 4

Step-by-step explanation:

(4 + 10)
14 x 5 = 70





~ LadyBrainiac

The average rate of change of profit as x changes from 3 to 5 is $12 per item.

To find the average rate of change of profit as x changes from 3 to 5, we need to find the change in profit divided by the change in x over that interval:

Average rate of change = (P(5) - P(3)) / (5 - 3)

We can find P(5) and P(3) by plugging those values of x into the profit equation:

P(5) = 2(5)^2 - 4(5) + 6 = 36

P(3) = 2(3)^2 - 4(3) + 6 = 12

Substituting these values, we get:

Average rate of change = (36 - 12) / (5 - 3)

Average rate of change = 24 / 2

Average rate of change = 12

Hence, the average rate is $12 per item.

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Answer: (2,1.6)

y=1.6

Step-by-step explanation:

you have the x coordinate, so that means x=2.

Plug in values for x:

5(2) + 5y = 18

10 + 5y = 18

Solve for y.

Answer:

The missing coordinate is 1.6.

Step-by-step explanation:

A coordinate is two points, x value and y value, on a graph. Ex: 1, 4. 1 is on the x axis, and 4 is on the y axis. In some Math problems, the point in the x value will be replaced with x.

5x + 5y = 18

5(2) + 5y = 18

10 + 5y = 18

10 - 10 + 5y = 18 - 10

5y = 8

5y/5 = 8/5

y = 1.6

To check this, we need to input 2 and 1.6 into the original problem.

5(2) + 5(1.6) = 18

10 + 5(1.6) = 18

10 + 8 = 18

18 = 18

This is true, so we know 1.6 is correct.

Answer:

Below

Step-by-step explanation:

The quations are both equal to 'y'  so the equations are equal

5x-10 = -3x+ 14

8x = 24

x = 3     <====== use this value of 'x' in one of the equations to calculate y

y = 5x-10

y = 5(3)-10 = 5  

The standard deviation of the movie times is given as follows:

27.7 minutes.

Considering that an hour has 60 minutes, the time in minutes of each movie is given as follows:

107 minutes, 92 minutes, 134 minutes, 116 minutes, 152 minutes, 182 minutes.

The mean of a data-set is given by the sum of all observations divided by the number of observations, hence:

Mean = (107 + 92 + 134 + 116 + 152 + 182)/6

Mean = 130.5 minutes.

The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, hence:

s = sqrt([(107-130.5)² + (92-130.5)² + (134-130.5)² + (116-130.5)² + (152-130.5)² + (182-130.5)²]/7)

s = 27.7 minutes.

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Orbital period of the planet is 2√2 earth years

According to Kepler's third law, the square of a planet's orbital period is proportional to the cube of its semi major axis.  

T² α a³

where, T is orbital period and a is length of semi-major axis.

Given,

Distance between the sun and the planet

= twice the distance of sun and earth

Let distance between sun and earth a₁ = d

then distance between planet and sun a₂= 2d

Orbital period of earth T₁ = 1 earth year

By Kepler's third law

T² α a³

(T₁/T₂)² = (a₁/a₂)³

(1/T₂)² = (D/2D)³

1/T₂² = 1/8

T₂ = 2√2 earth years

Hence, 2√2 earth years is the orbital period of other planet.

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The first and second lengths are not possible lengths of triangle.

The third and fourth lengths are possible lengths of triangle.

For the first case; 3 ft, 5 ft, 9 ft: Not possible. In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. However, in this case, 3 ft + 5 ft = 8 ft, which is less than 9 ft.

For the second case. 11 cm, 6 cm, 17 cm: Not possible. Using the same reasoning as above, we see that 6 cm + 11 cm = 17 cm, which means that the three sides cannot form a triangle.

For the third case. 4 in., 4 in., 6 in.: Possible. The sum of any two sides is greater than the third side, since 4 in. + 4 in. = 8 in., which is greater than 6 in. Therefore, these lengths can form a triangle.

For the fourth case. 16 yd, 10 yd, 12 yd: Possible. Again, we see that the sum of any two sides is greater than the third side, since 10 yd + 12 yd = 22 yd, which is greater than 16 yd. Therefore, these lengths can form a triangle.

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Answer:

X=4.5, or X=4 1/2

Step-by-step explanation:

The perimeter of the figure is 43 units.

The perimeter of a figure is the sum of the whole sides of the figure. Therefore, the figure above is a composite figure, let's find the perimeter of the shape as follows:

Hence,

Perimeter of the figure = 8 + 3 + 5 + 7 + 10 + 2 + 8

Therefore,

Perimeter of the figure = 11 + 12 + 12 + 8

Perimeter of the figure = 23 + 20

Perimeter of the figure = 43 units

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Answer: Using the formula F=9/5C+32, we can convert 59°C to degrees Fahrenheit:

F = 9/5 * 59°C + 32

F = 118.2°F + 32

F ≈ 150.8°F

Therefore, 59°C is approximately equal to 150.8°F.

Step-by-step explanation:

18x+30 is the solution of the expression which we get by adding all the expressions.

An expression is combination of variables, numbers and operators.

The given expressions from 1 to 9 are -4(x-5), 6(x+1), 4x-20,3x+12, -1(x-9), -x-12, 8-x, -2x, 7(2x+1)

Add all the nine expressions.

-4(x-5)+6(x+1)+4x-20+3x+12-1(x-9)-x-12+8-x -2x+ 7(2x+1)

-4x+20+6x+6+4x-20+3x+12-x+9-x-12+8-x-2x+14x+7

Combine the like terms

18x+30

Hence, 18x+30 is the solution of the expression which we get by adding all the expressions.

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The measure of angle 2 is 140 and <3 is 20 degree.

A parallelogram is a particular instance of a rhombus. The opposing sides and angles in a rhombus are parallel and equal. A rhombus also has equal-length sides on each side, and its diagonals meet at right angles to form its shape. The rhombus is also referred to as a diamond or rhombus.

As, Rhombus have angles which are opposite to each other are equal.

So, <1 = <2 = 140

Also, Consecutive angles are equal to 180° which shows the angle between <1 and <2 measure

= 180- 140

= 40

and, <3 = 1/2 <1

<3 = 1/2(40)= 20

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The linear equation that has no solutions with y = (5/4)x - 7 is

2y = (5/2)x - 14

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

y = (5/4)x - 7

We can create a linear equation that has no solutions with y = (5/4)x - 7.

Step 1:

y = (5/4)x - 7

Multiply 2 on both sides.

2y = (5/2)x - 14

Thus,

2y = (5/2)x - 14 is the linear equation that has no solutions with the given equation.

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The correct formula for this scenario is A. =IF(B3>B2, ROUND(B3 - B2, 0), 0).

The IF and ROUND functions are two commonly used functions in Microsoft Excel. Here's a brief explanation of each:

IF Function:

The IF function allows you to test whether a certain condition is true or false, and then perform a specific action based on the result of that test. The basic syntax of the IF function is as follows:

=IF(logical_test, value_if_true, value_if_false)

Here, the "logical_test" is the condition that you want to test. If this condition is true, then Excel will return the "value_if_true". If the condition is false, Excel will return the "value_if_false".

For example, suppose you have a cell A1 that contains a number. You could use the IF function to test whether that number is greater than 10, and then return "Yes" if it is, and "No" if it isn't, using the following formula:

=IF(A1>10, "Yes", "No")

ROUND Function:

The ROUND function allows you to round a number to a specific number of decimal places. The basic syntax of the ROUND function is as follows:

=ROUND(number, num_digits)

Here, the "number" is the number that you want to round, and the "num_digits" is the number of decimal places to which you want to round. If the "num_digits" is positive, then the function will round to the specified number of decimal places to the right of the decimal point. If the "num_digits" is negative, then the function will round to the left of the decimal point.

For example, suppose you have a number in cell A1 that contains many decimal places, and you want to round it to two decimal places. You could use the ROUND function as follows:

=ROUND(A1, 2)

This will round the number in cell A1 to two decimal places.

Here,

The correct formula for this scenario is A. =IF(B3>B2, ROUND(B3 - B2, 0), 0).

This formula uses the IF function to check whether the amount paid (B3) is greater than the amount for which the person is responsible (B2). If this is true, then it subtracts the amount for which the person is responsible from the amount paid and rounds the difference to the nearest whole number using the ROUND function. If the amount paid is not greater than the amount for which the person is responsible, then the formula displays zero.

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The surface area will be multiplied by 1/8.

A cone is a three-dimensional geometric shape that has a circular base and a curved surface that tapers to a point called the apex or vertex.

The height of a cone is the perpendicular distance from the vertex to the base. The radius of the base is the distance from the center of the circle to its edge.

The slant height is the distance from the vertex to any point on the edge of the base, The formula for the surface area of the cone is given by  

Here we have  

A right cone has a radius of 2 ft and a slant height of 5 ft.  

As we know, the total Surface Area of the cone  = πr(r + l) square units

Surface Area of cone  = π(2)(2 + 5) ft² = 44 ft²

Given that both the radius and slant height are multiplied by 1/4.

Radius, r = (1/4)(2) = 1/2 ft

Slant height, h = (1/4)5 = 5/4 ft

Surface Area of cone will be  = π(1/2)(1/2 + 5/4) ft²  

= π(1/2)(7/4) ft²  

= 11/4 ft²  

Let the surface area is multiplied by 'x'

=> 44x = 11/4

=> 4x = 11/4

=>  x = 1/8

Therefore,

The surface area will be multiplied by 1/8

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Answer:

The values of x are 1, 13, -29, and 42.

The snowstorm resumes at a consistent rate of 2 inches per hour after 5 hours. Draw a second diagonal line with a slope of 2 as a result. Points 7 and 10 should be the beginning and finish of this line, respectively (14,18).

The resulting graph should include a horizontal line at y=10 from (0,4) to (2,10), a diagonal line with a slope of 2 from (7,10) to (0,4), and a horizontal line at y=3 from (0,4) to (0,10). (14,18).

Graphs are visual representations of data that show how any two variables relate to one another. Without requiring a lot of words, they are frequently used to communicate complex and large amounts of data. A specific amount of data must be gathered through surveys or experiments before a graph may be created.

To create the graph of the snow on the ground over time, we can follow these steps:

Start with a point at (0,4) since at the beginning of the storm there were 4 inches of snow on the ground.

From this starting point, draw a diagonal line with a slope of 3, representing the constant rate of snowfall of 3 inches per hour. This line should have a y-intercept of 4 and an x-intercept of 2 (since 6 inches of snow fell in 2 hours).

After the 6 inches of snow have fallen, the snowstorm stops for 5 hours. During this time, the snow on the ground remains the same. So, draw a horizontal line at the y-value of 10 (since there are 10 inches of snow on the ground after the first 6 inches fall).

After 5 hours, the snowstorm starts again at a constant rate of 2 inches per hour. So, draw another diagonal line with a slope of 2. This line should start at the point (7,10) and end at the point (14,18).

The resulting graph should have a diagonal line with a slope of 3 from (0,4) to (2,10), a horizontal line at y=10 from (2,10) to (7,10), and a diagonal line with a slope of 2 from (7,10) to (14,18).

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If a homeowner would like to spread shredded bark (mulch) over her flowerbeds. it will cost $65.07 to cover all the flowerbeds with shredded bark.

To calculate the amount of mulch needed, we need to find the volume of each flowerbed and add them together. The recommended depth for the mulch is 4 inches, which is equal to 4/12 = 1/3 feet.

For the first flowerbed, the volume of mulch needed is:

24 ft x 3.1 ft x 1/3 ft = 24.8 cubic feet

For the second flowerbed, the volume of mulch needed is:

14 ft x 4.3 ft x 1/3 ft = 20.87 cubic feet

For the third flowerbed, the volume of mulch needed is:

30 ft x 1.5 ft x 1/3 ft = 15 cubic feet

The total volume of mulch needed to cover all three flowerbeds is:

24.8 cubic feet + 20.87 cubic feet + 15 cubic feet = 60.67 cubic feet

Since there are 27 cubic feet in a cubic yard, the total amount of mulch needed is:

60.67 cubic feet / 27 cubic feet per cubic yard = 2.25 cubic yards

At a cost of $27 per cubic yard, the total cost of the mulch is:

2.25 cubic yards x $27 per cubic yard = $60.75

Therefore, it will cost $60.75 to cover all of the flowerbeds with shredded bark.

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Answer:

5.85m

Step-by-step explanation:

1 meter is 100 centimeters.

583 divided by 100

Answer:

≈ 315

Step-by-step explanation:

To find the number that 105 is 33 1/3 of, we can use algebra.

Let x be the number we are looking for. Then we can write the equation:

105 = (33 1/3)% of x

To solve for x, we can first convert the percentage to a decimal by dividing by 100:

33 1/3% = 33 1/3 ÷ 100 = 0.3333

Substituting this in the equation, we get:

105 = 0.3333x

To solve for x, we can divide both sides by 0.3333:

x = 105 ÷ 0.3333

Using a calculator, we get:

x ≈ 315

Therefore, 105 is 33 1/3 of 315.

Answer:

3

Step-by-step explanation:

Amplitude is the absolute value of the number in front

3cos(2x) + 5

Answer:

Step-by-step explanation:

You want the y-intercepts of the relation y -5 = -5/2(x +4) and the one shown in the graph.

The y-intercept of a function is its value when x=0. It is the y-value where the graph crosses the y-axis.

Setting x=0, we can solve for y:

  y -5 = -5/2(0 +4) = -10

  y = -5 . . . . . . . . add 5; this is the y-intercept

The y-intercept of Line A is -5.

The graph crosses the y-axis at y = -6.

The y-intercept of Line B is -6.

The y-intercept of Line A is greater than the y-intercept of Line B.

The most accurate calculation for the product of 2, 9, and 11, is 1, or 0 + 1.

Best estimate refers to the figure arrived at by an assessor using deterministic techniques that most accurately captures the anticipated result without optimism or conservatism.

To estimate a number is to round it up to the nearest full number.

We now have February 9 and November 11.

Hence, as 2/9 is closer to 0 than 0.5, we will estimate it to be 0.

Similarly, we will estimate 10/11 as 1 since it is closer to 1 than 0.5.

Hence, 0 + 1 = 1 is the result of adding up their estimates.

In conclusion, 0 + 1 = 1 is the best estimate for the product of the numbers 2/9 and 10/11.

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